differently colored polygons?

Question

I want to create 6 hexagons side by side, each having a different number of edges dashed instead of normal. How is it possible?
The code I currently use to create a single hexagon is:

    \foreach \n in {1,2,...,6} {
    \node at (\n*2.5-4,1)[above left] {\n$.$} ;
    \draw [xshift=\n*2.5cm-3cm] (0:1cm) \foreach \x in {1,2,...,6} {
        -- (\x*60:1cm)} --cycle (90:1cm);
}

I don't mind creating each hexagon individually if there's no simple way to create them in a loop, but I don't even know how to do that.

edit: Clarifications: What I want to achieve is basically a list of hexagons, each with a different "order" of edges dashed (That is, all the possible variations of dashed edges such that you can't get from one to the other by rotating the hexagon). I though that's a bit too broad of a questiong so I asked about the coloring of one hexagon with a certain dashed pattern, but I guess I wasn't clear enough (sorry for that, English is not my mother tounge so stuff tend to get messy).

I'm using TeX through Lyx and don't really know how to use it very well, so I don't know how to post an MWE, sorry :(.

Answer 1

If you really want to meet the constraint

all the possible variations of dashed edges such that you can't get from one to the other by rotating the hexagon

then an alternate solution is required.

The number of dashed edges is increased for each row, and the ones that are equivalent by rotational symmetry have an opacity applied to them:

Code:

\documentclass{article}

\usepackage{tikz}
\tikzset{Dashed/.style={dashed, red}}
\tikzset{Duplicate/.style={opacity=0.5, thin, gray}}
\newcommand{\Hexagon}[8][]{%
  %\node at (#1*2.5-4,1)[above left] {$#1.$};
  \begin{scope}[xshift=#2*2.5cm-3cm,#1] %,rotate=#1*60
    \draw[solid, #3] (   0:1cm) -- (1*60:1cm);
    \draw[solid, #4] (1*60:1cm) -- (2*60:1cm);
    \draw[solid, #5] (2*60:1cm) -- (3*60:1cm);
    \draw[solid, #6] (3*60:1cm) -- (4*60:1cm);
    \draw[solid, #7] (4*60:1cm) -- (5*60:1cm);
    \draw[solid, #8] (5*60:1cm) -- (6*60:1cm);
  \end{scope}
}%
\begin{document}
\begin{tikzpicture}[ultra thick, blue]
  \Hexagon           {1}{Dashed}{}{}{}{}{}
  \Hexagon[Duplicate]{2}{}{Dashed}{}{}{}{}
  \Hexagon[Duplicate]{3}{}{}{Dashed}{}{}{}
  \Hexagon[Duplicate]{4}{}{}{}{Dashed}{}{}
  \Hexagon[Duplicate]{5}{}{}{}{}{Dashed}{}
  \Hexagon[Duplicate]{6}{}{}{}{}{}{Dashed}
\begin{scope}[yshift=-3cm]
  \Hexagon           {1}{Dashed}{Dashed}{}{}{}{}
  \Hexagon           {2}{Dashed}{}{Dashed}{}{}{}
  \Hexagon           {3}{Dashed}{}{}{Dashed}{}{}
  \Hexagon[Duplicate]{4}{Dashed}{}{}{}{Dashed}{}
  \Hexagon[Duplicate]{5}{Dashed}{}{}{}{}{Dashed}
\end{scope}
\begin{scope}[yshift=-6cm]
  \Hexagon           {1}{Dashed}{Dashed}{Dashed}{}{}{}
  \Hexagon           {2}{Dashed}{Dashed}{}{Dashed}{}{}
  \Hexagon           {3}{Dashed}{Dashed}{}{}{Dashed}{}
  \Hexagon[Duplicate]{4}{Dashed}{}{}{}{Dashed}{Dashed}
\end{scope}
\begin{scope}[yshift=-9cm]
  \Hexagon{1}{Dashed}{Dashed}{Dashed}{Dashed}{}{}
  \Hexagon{2}{Dashed}{Dashed}{Dashed}{}{Dashed}{}
  \Hexagon{3}{Dashed}{}{Dashed}{Dashed}{}{Dashed}
\end{scope}
\begin{scope}[yshift=-12cm]
  \Hexagon           {1}{Dashed}{Dashed}{Dashed}{Dashed}{Dashed}{}
  \Hexagon[Duplicate]{2}{Dashed}{Dashed}{Dashed}{Dashed}{}{Dashed}
\end{scope}
\begin{scope}[yshift=-15cm]
  \Hexagon{1}{Dashed}{Dashed}{Dashed}{Dashed}{Dashed}{Dashed}
\end{scope}
\end{tikzpicture}
\end{document}

Answer 2

answering your question would at least be easier if you provided us with a picture of some sort of what you want to achieve.

The following does produce 6 different hexagons:

\documentclass{article}

\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\foreach \n in {1,2,...,6}  
{
  \node at (\n*2.5-4,1)[above left] {\n$.$};
  \begin{scope}[xshift=\n*2.5cm-3cm,rotate=\n*60] 
    \draw[dashed] (0:1cm) -- (60:1cm);
    \draw (60:1cm) \foreach \x in {2,...,6} {-- (\x*60:1cm)};
  \end{scope}
}
\end{tikzpicture}
\end{document}

Result in: